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58083888 = 24310111981
BaseRepresentation
bin1101110110010…
…0101000110000
311001021222010010
43131210220300
5104332141023
65432534520
71303463532
oct335445060
9131258103
1058083888
112a872315
1217551440
13c058a85
1479dd852
155175093
hex3764a30

58083888 has 40 divisors (see below), whose sum is σ = 151548336. Its totient is φ = 19168000.

The previous prime is 58083887. The next prime is 58083899. The reversal of 58083888 is 88838085.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (58083887) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1143 + ... + 10838.

Almost surely, 258083888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58083888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75774168).

58083888 is an abundant number, since it is smaller than the sum of its proper divisors (93464448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

58083888 is a wasteful number, since it uses less digits than its factorization.

58083888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12093 (or 12087 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 48.

The square root of 58083888 is about 7621.2786328804. The cubic root of 58083888 is about 387.2741949093.

It can be divided in two parts, 5808 and 3888, that multiplied together give a square (22581504 = 47522).

The spelling of 58083888 in words is "fifty-eight million, eighty-three thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 202 303 404 606 808 1212 1616 2424 4848 11981 23962 35943 47924 71886 95848 143772 191696 287544 575088 1210081 2420162 3630243 4840324 7260486 9680648 14520972 19361296 29041944 58083888